Numerical Integration of Stochastic Differential Equations: The Heun Algorithm Revisited and the Itô-Stratonovich Calculus. [PDF]
Entropy (Basel)Mannella R.
europepmc +1 more source
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT We extend the kernel‐based symplectic predictor introduced by Herkert et al. (2026) to a parameter‐augmented setting in which the learned flow‐map surrogate depends not only on the state, but also on additional variables such as physical parameters and macro time‐step sizes. The method uses a product kernel ansatz on a parameter and macro step
Robin Herkert +2 more
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A Self-Consistent Phase Field Crystal Method for Twisted Bilayer Graphene. [PDF]
Nanomaterials (Basel)Wang P, Liu K.
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A Mixed Discrete Cosserat Rod Formulation
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT In this communication we propose a discrete Cosserat rod formulation in which a slender elastic rod is represented as a chain of rigid bodies (nodes) coupled by compliant elastic forces and moments acting between adjacent node pairs. Discrete dilatation, shear, torsion and curvature strain measures are evaluated from the relative kinematics of
Tianxiang Dai +4 more
wiley +1 more source
Nonlinear Projection for Ballistic Correlation Functions: a Formula in Terms of Minimal Connected Covers. [PDF]
J Stat PhysDoyon B.
europepmc +1 more source
Feedback Linearisation with State Constraints
International Journal of Robust and Nonlinear Control, Volume 36, Issue 17, Page 7579-7595, 25 November 2026.ABSTRACT Feedback Linearisation (FBL) is a widely used technique that applies feedback laws to transform input‐affine nonlinear control systems into linear control systems, allowing for the use of linear controller design methods such as pole placement.
Songlin Jin, Yuanbo Nie, Morgan Jones
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Stabilized Radial Basis Function Finite Difference Schemes with Mass Conservation for the Cahn-Hilliard Equation on Surfaces. [PDF]
Entropy (Basel)Qiao J, Qiao Y, He Y.
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Exact Computation of the Color Function for Triangular Element Interfaces
International Journal for Numerical Methods in Fluids, Volume 98, Issue 11, Page 1181-1194, November 2026.We propose a robust algorithm, the Front2VOF algorithm, to compute the color function for triangular element interfaces in Front‐Tracking methods on a Cartesian mesh. ABSTRACT The calculation of the volume enclosed by curved surfaces discretized into triangular elements and a cube is of great importance in different domains, such as computer graphics ...
Jieyun Pan +8 more
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Research on the Stability Model in Discrete Dynamical Systems with the Lorenz Attractor and the Kropotov-Pakhomov Neural Network. [PDF]
Entropy (Basel)Gospodinova EA.
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Magnetic Resonance in Medicine, Volume 96, Issue 5, Page 2489-2504, November 2026.ABSTRACT Purpose To improve the accuracy of diffusion‐weighted powder average signals for diffusion encoding with arbitrary b‐tensors. Methods We identify an intrinsic dihedral (D2) symmetry of diffusion signals for arbitrary diffusion encoding, which defines their natural signal space (a quotient of 3D rotations). Based on this, we propose a method to
Sune Nørhøj Jespersen +1 more
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